(y^3+xy)y'=1(y^2+x)(y^2)'=2y^2dy^2+xdy^2=2dxy^2+x=udx=du-dy^2udy^2=2du-2dy^2(u+2)dy^2=2du(1/2)dy^2=du/(u+2)(1/2)y^2 +lnC=ln|u+2|u+2=Ce^[(1/2)y^2]y^2+x+2=Ce^[(1/2)y^2]x=0,y=0C=2特解y^2+x+2=2e^[(1/2)y^2...
